Rational curvature invariants for 2-complexes

New invariants for 2-dimensional cell complexes are defined, which can be interpreted as curvature bounds. These invariants are proved to be rational and computable in a companion article. This document is a survey that collects theorems about these invariants, computes examples, and lays out a programme of conjectures.

Description

Peer reviewed: True

Publication status: Published

Keywords

combinatorial group theory, geometric group theory, low-dimensional topology

Journal Title

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Journal ISSN

1364-5021
1471-2946

Volume Title

480

Publisher

The Royal Society

Publisher DOI

https://doi.org/10.1098/rspa.2024.0025

Rights and licensing

Except where otherwised noted, this item's license is described as Attribution 4.0 International

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